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Introduction to Second Derivatives And Beyond - At A Glance:

When we take the derivative of a differentiable function f, we end with a new function f '. If this new function f ' is differentiable, then we can take its derivative to find (f')', also known as f " or the second derivative of f.

Sample Problem

If f (x) = x2 + 4x, then we take its derivative once to find

f '(x) = 2x + 4.

Since 2x + 4 is a differentiable function, we can take its derivative to find